SOLUTION: Mr. Slayer is a buyer for an electronics store. he received a shipment of 5 DVD players in which one is defective. He randomly chose 1 of the DVD players to test. Suppose the defec

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Mr. Slayer is a buyer for an electronics store. he received a shipment of 5 DVD players in which one is defective. He randomly chose 1 of the DVD players to test. Suppose the defec      Log On

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Question 273580: Mr. Slayer is a buyer for an electronics store. he received a shipment of 5 DVD players in which one is defective. He randomly chose 1 of the DVD players to test. Suppose the defective player is one of the three that Mr. Slayer tested. What is the probability that the last one tested was the defective one?
Answer by Theo(3504) About Me  (Show Source):
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He bought 5.
He tested 3.
what is the probability that the defective player is the last one tested?

The probability of a player being defective is 1/5.

He picks one out at random.

the probability it is not defective is 4/5.

He picks another one out at random.

the probability it is not defective is 4/5.

He picks another one out at random.

the probability it is defective is 1/5.

the probability that he picks the first 2 that are not defective and the third one that is defective would be 4/5 * 4/5 * 1/5 = 16/125